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420160161060 = 2232567174120011
BaseRepresentation
bin1100001110100110111…
…11110100010100100100
31111011111200110122220200
412013103133310110210
523340442000123220
6521004030230500
742232650304533
oct6072337642444
91434450418820
10420160161060
11152209503832
126951a955430
133080c261b23
141649b85a31a
15ade174e890
hex61d37f4524

420160161060 has 144 divisors (see below), whose sum is σ = 1294315643712. Its totient is φ = 110301523200.

The previous prime is 420160161019. The next prime is 420160161061. The reversal of 420160161060 is 60161061024.

420160161060 is a `hidden beast` number, since 42 + 0 + 1 + 6 + 0 + 1 + 610 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (420160161061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20986455 + ... + 21006465.

Almost surely, 2420160161060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420160161060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647157821856).

420160161060 is an abundant number, since it is smaller than the sum of its proper divisors (874155482652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420160161060 is a wasteful number, since it uses less digits than its factorization.

420160161060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21834 (or 21829 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 420160161060 in words is "four hundred twenty billion, one hundred sixty million, one hundred sixty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 1741 2010 2412 3015 3482 4020 5223 6030 6964 8705 10446 12060 15669 17410 20011 20892 26115 31338 34820 40022 52230 60033 62676 78345 80044 100055 104460 116647 120066 156690 180099 200110 233294 240132 300165 313380 349941 360198 400220 466588 583235 600330 699882 720396 900495 1049823 1166470 1200660 1340737 1399764 1749705 1800990 2099646 2332940 2681474 3499410 3601980 4022211 4199292 5249115 5362948 6703685 6998820 8044422 10498230 12066633 13407370 16088844 20111055 20996460 24133266 26814740 34839151 40222110 48266532 60333165 69678302 80444220 104517453 120666330 139356604 174195755 209034906 241332660 313552359 348391510 418069812 522587265 627104718 696783020 1045174530 1254209436 1567761795 2090349060 2334223117 3135523590 4668446234 6271047180 7002669351 9336892468 11671115585 14005338702 21008008053 23342231170 28010677404 35013346755 42016016106 46684462340 70026693510 84032032212 105040040265 140053387020 210080080530 420160161060